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CIE 9709 2023 June Paper 11 Q3

A Level / CIE / P1

CIE 9709 2023 June Paper 11 Paper · Question 3

题目

Problem

The diagram shows graphs with equations y=f(x)y=f(x) and y=g(x)y=g(x).

Describe fully a sequence of two transformations which transforms the graph of y=f(x)y=f(x) to y=g(x)y=g(x).

[4]
题目中文翻译

图中显示方程为 y=f(x)y=f(x) 和 y=g(x)y=g(x) 的图像。

完整描述一组由两个变换组成的变换序列,将 y=f(x)y=f(x) 的图像变换为 y=g(x)y=g(x) 的图像。

[4]

解答

解法一

思路

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比较两条折线的对应转折点。每个点都左移 66,同时纵坐标加倍。

答题过程

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The corner (3,3)(3,3) maps to (−3,6)(-3,6), and (1,−1)(1,-1) maps to (−5,−2)(-5,-2). Thus a suitable sequence is to stretch by scale factor 22 in the yy-direction, then translate by (−60)\begin{pmatrix}-6\\0\end{pmatrix}. The two operations act on different coordinates, so the reverse order also works.